Question

Use the given formulas to determine the results. In general, temperature is measured using either the Celsius (C) or Fahrenheit (F) scales. To convert from degrees Celsius to degrees Fahrenheit, use the following formula. $$F=(9 C \div 5)+32$$ a. Use the formula to convert \(20^{\circ}\) Celsius into degrees Fahrenheit. b. \(100^{\circ} \mathrm{C}\) is equal to how many degrees Fahrenheit?

Short answer

Question: Convert the following Celsius temperatures to Fahrenheit using the given formula (F = (9 × C ÷ 5) + 32): a) 20°C, b) 100°C. Answer: a) 20°C is equal to 68°F, b) 100°C is equal to 212°F.

Step-by-step solution

Part a: Convert 20°C to Fahrenheit

To convert 20 degrees Celsius to Fahrenheit, we will use the provided formula: $$F = (9 \times C \div 5) + 32$$ First, replace the C in the formula with 20: $$F = (9 \times 20 \div 5) + 32$$ Now perform the calculations: $$F = (9 \times 4) + 32$$ $$F = 36 + 32$$ $$F = 68$$ So, 20°C is equal to 68°F.

Part b: Convert 100°C to Fahrenheit

To convert 100 degrees Celsius to Fahrenheit, we will again use the formula: $$F = (9 \times C \div 5) + 32$$ First, replace the C in the formula with 100: $$F = (9 \times 100 \div 5) + 32$$ Now perform the calculations: $$F = (9 \times 20) + 32$$ $$F = 180 + 32$$ $$F = 212$$ So, 100°C is equal to 212°F.